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Finding the Fourth Proportional to 3,724, 5,148.72 and 3,560.80

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Solution

The fourth proportional to 3,724, 5,148.72 and 3,560.80 is: 4,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724 : 5,148.72 = 3,560.80 : x
  2. Step 2: Convert to fraction form
    3,724/5,148.72 = 3,560.80/x
  3. Step 3: Cross multiply
    3,724x = 5,148.72 × 3,560.80
  4. Step 4: Simplify right side
    3,724x = 18,333,562.18
  5. Step 5: Solve for x
    x = 18,333,562.18/3,724
  6. Step 6: Final answer
    x = 4,923.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.